ik-WAY-zhuhnz
/ɪˈkweɪʒənz/
equations is pronounced ik-WAY-zhuhnz (/ɪˈkweɪʒənz/). Equations are mathematical statements that assert the equality of two expressions, usually linked by an equals sign. They express relationships between quantities and are solved to find unknown values. In practice, equations underpin algebra, physics, and engineering, enabling precise description and manipulation of variables within modeled systems.
Equations are mathematical statements that assert the equality of two expressions, usually linked by an equals sign. They express relationships between quantities and are solved to find unknown values. In practice, equations underpin algebra, physics, and engineering, enabling precise description and manipulation of variables within modeled systems.
- Misplacing primary stress on the first syllable: focus on stressing the second syllable (/ˈweɪ/). Practise with a beat: e-QUA-tions. - Weakening the /weɪ/ diphthong to a simple /e/; ensure your mouth moves from /e/ to /ɪ/ or /ɪə/ as in /weɪ/. - Splitting the /kw/ cluster: keep /k/ and /w/ together as /kw/ rather than /k w/ distantly. - Final -s pronounced as /z/ in connected speech; ensure voicing, avoid voiceless /s/ unless whispering.
"The teacher solved the system of equations to find the intersection point."
"You’ll practice solving equations with variables on both sides."
"Her notebook is filled with linear equations and their solutions."
You say /ˌɛkˈweɪ.ʃənz/ (US) or /ˌiːˈkweɪ.ʃənz/ (UK/AU). The primary stress is on the second syllable: e-QUA-tions. Start with a light, unstressed ‘e’ as in ‘bed’, then the /ˈweɪ/ diphthong sounds like ‘ways’, followed by /ʃənz/ as in ‘shuns’ with a soft schwa before the n sound. Keep the /kw/ cluster tight after the initial vowel. You’ll hear the final z sound clearly in connected speech.
Common errors: misplacing the stress (saying /ˈɛk.weɪ.ʃənz/ instead of/ ˌɛkˈweɪ.ʃənz/), and mispronouncing the /kw/ as separate /k w/ sequences. Another trap is weakening the second syllable so it sounds like ‘e-que-ations’ with a schwa instead of /weɪ/. Correct by emphasizing the /weɪ/ and keeping /kw/ together: /ˌɛkˈweɪ.ʃənz/.
In US English, initial vowel in the first syllable tends to be a lax /ɛ/ as in ‘bed,’ with primary stress on the second syllable. UK and AU often use a similar rhythm, but some UK speakers may have a slightly longer /eɪ/ in the /ˈweɪ/ portion and the final /z/ may be devoiced in careful speech. Overall, the /kw/ cluster and /ʃənz/ ending remain consistent across accents.
The difficulty lies in the cluster /kw/ immediately after a stressed syllable and the -tions ending that reduces to /ʃənz/. Learners often misplace stress and flatten the diphthong /weɪ/ into a simple /e/ or /iː/. Practice the sequence e-QUA-tions slowly, then blend /kw/ with the preceding vowel to produce a smooth /ˈweɪ/ glide before /ʃənz/.
There are no silent letters in equations, but the /t/ is not pronounced as a strong stop; in fluent speech, the /t/ blends into the /ʃ/ sound, giving /tʃ/ like a soft, subtle cue between /weɪ/ and /ʃənz/. The syllables flow as /ˌɛkˈweɪ.ʃənz/, with the /t/ being lightly implied and the primary sounds carried by the /ˈweɪ/ and /ʃənz/ portions.
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- US: rhotic /r/ is not a factor here; focus on the /ˌɛkˈweɪ.ʃənz/ rhythm, with a crisp /ˈweɪ/ and clear /ʃənz/. - UK: /eɪ/ can be a bit longer; keep the final /z/ as a voiced sound; some speakers may vocalize a tiny vowel before /z/. - AU: tends to be non-rhotic like UK; maintain /ˈweɪ.ʃənz/ with a slightly more relaxed jaw. Across all, ensure /kw/ is tight; avoid breaking it into /k w/. IPA references: US /ˌɛkˈweɪ.ʃənz/, UK/AU /ˌiːˈkweɪ.ʃənz/ (note: some speakers use /ˌɛkˈweɪ.ʃənz/ depending on allophony).
The word equation comes from the Latin aequatio, from aequare ‘to make equal.’ This was adapted into Old French as equation, then into English in the 15th–16th centuries. The root aequus meaning ‘equal’ underpins related terms such as equal, equity, and adequate. The mathematical sense emerged in early modern Europe as scholars formalized relationships using symbols like =, yielding phrases such as ‘an equation of motion’ and ‘an algebraic equation.’ Over time, the term broadened to denote any statement asserting the equality of two sides, whether numeric, symbolic, or functional. The plural “equations” retains the same core idea with multiple assertions, and the word frequently appears in textbooks, proofs, and problem sets across STEM disciplines.
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Words that rhyme with "equations"
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